Dealing with Uncertainties
A Guide to Error Analysis
Buch in deiner Nähe kaufen
Beschreibung
Dealing with Uncertainties proposes and explains a new approach for the analysis of uncertainties. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, it stresses the importance of the deductive approach to uncertainties. This perspective has the potential of dealing with the uncertainty of a single data point and of data of a set having differing weights. Both cases cannot be dealt with the inductive approach, which is usually taken. This innovative monograph also fully covers both uncorrelated and correlated uncertainties. The weakness of using statistical weights in regression analysis is discussed. Abundant examples are given for correlation in and between data sets and for the feedback of uncertainties on experiment design.
Dealing with Uncertainties proposes and explains a new approach for the analysis of uncertainties. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, it stresses the importance of the deductive approach to uncertainties. This perspective has the potential of dealing with the uncertainty of a single data point and of data of a set having differing weights. Both cases cannot be dealt with the inductive approach, which is usually taken. This innovative monograph also fully covers both uncorrelated and correlated uncertainties. The weakness of using statistical weights in regression analysis is discussed. Abundant examples are given for correlation in and between data sets and for the feedback of uncertainties on experiment design.
- Innovative approach covers topics not addressed by competing titles
- Demonstrates that uncertainties are the consequence of modern science rather than of measurements
- Coverage includes internal uncertainties, analysis of correlated uncertainties, feedback of uncertainties on experiment design, and weighting in regression analysis other than statistical
- Gives examples for correlations in data evaluations and for the feedback of uncertainties on experiments
A new approach towards uncertainties is taken. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, the importance of internal uncertainties is stressed. They can deal with the uncertainty of a single data point and with sets of data having differing weights. Both cases cannot be handled with external uncertainties which are usually considered. The handling of both uncorrelated and correlated uncertainties is fully covered. The weakness of using statistical weights in regression analysis is discussed. Examples are given for correlations in data evaluations and for the feedback of uncertainties on experiments.
Autor*in
Manfred Drosg
Themen in »Dealing with Uncertainties«
Correlation of errors Error analysis Random error Regression analysis Statistica Uncertainty considerations calculus correlation experiment feedback measurement model probability regression uncertainty
Stimmen zu »Dealing with Uncertainties«
From the reviews:
"Drosg … emphasizes that uncertainties should not always be viewed as indication of errors but, rather, be embraced by the fact that they will always exist in science and therefore are required to be addressed like any other numbers or data utilized in the study of applied mathematics or science. Drosg has vast experience in nuclear physics and electronics, as is evident from the numerous examples in his book. … Summing Up: Recommended. Faculty; researchers; professionals." (J. T. Zerger, CHOICE, Vol. 44 (11), July, 2007)
()